已知函数
.
(1)若
的定义域和值域均是[1,a],求实数a的值;
(2)若
在[1,3]上有零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a86606245c50dd00e15cdb656852b9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
更新时间:2020-01-30 13:23:27
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名校
【推荐1】对于函数
,若在定义域内存在实数
,满足
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(1)已知二次函数
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是否为“局部中心函数”.并说明理由;
(2)若
是定义域为R上的“局部中心函数”,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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(1)已知二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c0dd0949a0341ec5a3c31c3d7f1dd4.png)
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(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588e12ab9faf9f4599204bdac2018ede.png)
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【推荐2】已知二次函数
,
,
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(1)求函数
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(2)设
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(i)若
在
上是减函数,求实数
的取值范围;
(ii)若
在
内恰有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737257b407570ff9ea2a1d3fbd2bb0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad1fbaa0059ed6259ed17bf9d0e89b1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360fb2d9cc8c9fb9732713da5b08fa8c.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解答题-证明题
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适中
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【推荐1】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94890b39ad2a5736cf2b6f4721b2c09.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
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(3)设
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】已知
.
(1)判断
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(2)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553f0e73c6cf9bc3e7429def670f344a.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
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